Convert degree to length

Questions and answers on how to convert things from one unit or system to another
Forum rules
Dear convert-me.com forum visitors,

Our forum has been available for many years. In September 2014 we decided to switch it to read-only mode. Month after month we saw less posts with questions and answers from real people and more spam posts. We were spending more and more resources cleaning the spam until there were less them 1 legitimate message per 100 spam posts. Then we decided it's time to stop.

All the posts in the forum will be available and searchable. We understand there are a lot of useful information and we aren't going to remove anything. As for the new questions, you can always ask them on convert-me.com FaceBook page

Thank you for being with us and sorry for any inconveniences this could caused.

Convert degree to length

Postby 60cibu » Wed Sep 16, 2009 1:21 am

My question is as follows: Stonehenge required 550 people to pull a single stone up a ramp inclined at a 9° angle. Describe how right triangle trigonometry can be used to determine the distance the 550 workers had to drag a stone in order to raise it to a height of 30 feet. Does anyone know how to convert this 9° to a measurement of length or at least tell me what this formula is and how it works? I understand that it must be based on the Pythagoren Theorem which involves the use of right triangle trigonometry.
60cibu
 
Posts: 1
Joined: Wed Sep 16, 2009 1:11 am

Re: Convert degree to length

Postby Dirtman » Sun Sep 27, 2009 12:08 pm

60cibu wrote:My question is as follows: Stonehenge required 550 people to pull a single stone up a ramp inclined at a 9° angle. Describe how right triangle trigonometry can be used to determine the distance the 550 workers had to drag a stone in order to raise it to a height of 30 feet. Does anyone know how to convert this 9° to a measurement of length or at least tell me what this formula is and how it works? I understand that it must be based on the Pythagoren Theorem which involves the use of right triangle trigonometry.


How the stones were raised at Stonehenge is theoretical but it does make sense to use an earthen ramp and that is where the evidence points, however, to answer your question . . .

Using trigonometry with a right triangle. The 30 ft height is the opposite side of Theta (9º). The formula is: Opposite side / SIN(Theta) = the hypotenuse (the ramp), so: 30 / SIN(9) = 30 / 0.156434465040 = 191.77 ft long ramp.

Note: The Pythagoren Theorem requires 2 sides to calculate the 3rd side
Dirtman
Expert
 
Posts: 574
Joined: Sat Jan 21, 2006 2:04 pm
Location: California


More info

  • List of all units you can convert online
  • Metric conversion
  • Convert pounds to gallons
  • Convert grams to cups
  • Grams to milliliters
  • Imperial vs US Customary
  • History of measurement
  • Return to How to convert?



    Our Privacy Policy       Cooking Measures Converter       Metric conversions

    cron